%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB032+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:17:21 PM UTC 2026
% Result : Theorem 1.14s 1.84s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 139 ( 58 ~; 57 |; 16 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_parts_idc_cond_set,axiom,
! [X1] :
( idc(X1)
=> ic(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
fof(owl_rdfsext_subclassof,axiom,
! [X2,X3] :
( iext(uri_rdfs_subClassOf,X2,X3)
<=> ( ic(X2)
& ic(X3)
& ! [X1] :
( icext(X2,X1)
=> icext(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_dat_dtype_decimal_type,axiom,
idc(uri_xsd_decimal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
fof(owl_dat_dtype_integer_type,axiom,
idc(uri_xsd_integer),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,
! [X1] :
( icext(uri_xsd_integer,X1)
=> icext(uri_xsd_decimal,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
fof(owl_dat_dtype_relation_subtype_rational_real,axiom,
! [X1] :
( icext(uri_owl_rational,X1)
=> icext(uri_owl_real,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
fof(owl_dat_dtype_relation_subtype_decimal_rational,axiom,
! [X1] :
( icext(uri_xsd_decimal,X1)
=> icext(uri_owl_rational,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
fof(testcase_conclusion_fullish_032_Datatype_Relationships,conjecture,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
& iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).
fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,
! [X1] :
~ ( icext(uri_rdf_PlainLiteral,X1)
& icext(uri_owl_real,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
fof(owl_eqdis_disjointwith,axiom,
! [X2,X3] :
( iext(uri_owl_disjointWith,X2,X3)
<=> ( ic(X2)
& ic(X3)
& ! [X1] :
~ ( icext(X2,X1)
& icext(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,
! [X1] :
( icext(uri_xsd_string,X1)
=> icext(uri_rdf_PlainLiteral,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
fof(owl_dat_dtype_string_type,axiom,
idc(uri_xsd_string),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
fof(c_0_12,plain,
! [X21] :
( ~ idc(X21)
| ic(X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_idc_cond_set])]) ).
fof(c_0_13,plain,
! [X22,X23,X24,X25,X26] :
( ( ic(X22)
| ~ iext(uri_rdfs_subClassOf,X22,X23) )
& ( ic(X23)
| ~ iext(uri_rdfs_subClassOf,X22,X23) )
& ( ~ icext(X22,X24)
| icext(X23,X24)
| ~ iext(uri_rdfs_subClassOf,X22,X23) )
& ( icext(X25,esk1_2(X25,X26))
| ~ ic(X25)
| ~ ic(X26)
| iext(uri_rdfs_subClassOf,X25,X26) )
& ( ~ icext(X26,esk1_2(X25,X26))
| ~ ic(X25)
| ~ ic(X26)
| iext(uri_rdfs_subClassOf,X25,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])]) ).
cnf(c_0_14,plain,
( ic(X1)
| ~ idc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
idc(uri_xsd_decimal),
inference(split_conjunct,[status(thm)],[owl_dat_dtype_decimal_type]) ).
cnf(c_0_16,plain,
( icext(X1,esk1_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
ic(uri_xsd_decimal),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
idc(uri_xsd_integer),
inference(split_conjunct,[status(thm)],[owl_dat_dtype_integer_type]) ).
fof(c_0_19,plain,
! [X20] :
( ~ icext(uri_xsd_integer,X20)
| icext(uri_xsd_decimal,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_integer_decimal])]) ).
cnf(c_0_20,plain,
( iext(uri_rdfs_subClassOf,X1,uri_xsd_decimal)
| icext(X1,esk1_2(X1,uri_xsd_decimal))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
ic(uri_xsd_integer),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
fof(c_0_22,plain,
! [X18] :
( ~ icext(uri_owl_rational,X18)
| icext(uri_owl_real,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_rational_real])]) ).
fof(c_0_23,plain,
! [X19] :
( ~ icext(uri_xsd_decimal,X19)
| icext(uri_owl_rational,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_decimal_rational])]) ).
fof(c_0_24,negated_conjecture,
~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
& iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_032_Datatype_Relationships]) ).
cnf(c_0_25,plain,
( icext(uri_xsd_decimal,X1)
| ~ icext(uri_xsd_integer,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| icext(uri_xsd_integer,esk1_2(uri_xsd_integer,uri_xsd_decimal)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_27,plain,
! [X16] :
( ~ icext(uri_rdf_PlainLiteral,X16)
| ~ icext(uri_owl_real,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_disjoint_plainliteral_real])]) ).
cnf(c_0_28,plain,
( icext(uri_owl_real,X1)
| ~ icext(uri_owl_rational,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( icext(uri_owl_rational,X1)
| ~ icext(uri_xsd_decimal,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X28,X29,X30,X31,X32] :
( ( ic(X28)
| ~ iext(uri_owl_disjointWith,X28,X29) )
& ( ic(X29)
| ~ iext(uri_owl_disjointWith,X28,X29) )
& ( ~ icext(X28,X30)
| ~ icext(X29,X30)
| ~ iext(uri_owl_disjointWith,X28,X29) )
& ( icext(X31,esk2_2(X31,X32))
| ~ ic(X31)
| ~ ic(X32)
| iext(uri_owl_disjointWith,X31,X32) )
& ( icext(X32,esk2_2(X31,X32))
| ~ ic(X31)
| ~ ic(X32)
| iext(uri_owl_disjointWith,X31,X32) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_disjointwith])])])])])]) ).
fof(c_0_31,negated_conjecture,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk1_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| icext(uri_xsd_decimal,esk1_2(uri_xsd_integer,uri_xsd_decimal)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( ~ icext(uri_rdf_PlainLiteral,X1)
| ~ icext(uri_owl_real,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( icext(uri_owl_real,X1)
| ~ icext(uri_xsd_decimal,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_36,plain,
! [X17] :
( ~ icext(uri_xsd_string,X17)
| icext(uri_rdf_PlainLiteral,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_string_plainliteral])]) ).
cnf(c_0_37,plain,
( icext(X1,esk2_2(X2,X1))
| iext(uri_owl_disjointWith,X2,X1)
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
idc(uri_xsd_string),
inference(split_conjunct,[status(thm)],[owl_dat_dtype_string_type]) ).
cnf(c_0_39,negated_conjecture,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21]),c_0_17])]) ).
cnf(c_0_41,plain,
( ~ icext(uri_rdf_PlainLiteral,X1)
| ~ icext(uri_xsd_decimal,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( icext(uri_rdf_PlainLiteral,X1)
| ~ icext(uri_xsd_string,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,X1)
| icext(X1,esk2_2(uri_xsd_decimal,X1))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_44,plain,
ic(uri_xsd_string),
inference(spm,[status(thm)],[c_0_14,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_46,plain,
( icext(X1,esk2_2(X1,X2))
| iext(uri_owl_disjointWith,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47,plain,
( ~ icext(uri_xsd_decimal,X1)
| ~ icext(uri_xsd_string,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
icext(uri_xsd_string,esk2_2(uri_xsd_decimal,uri_xsd_string)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_49,plain,
( iext(uri_owl_disjointWith,X1,uri_xsd_string)
| icext(X1,esk2_2(X1,uri_xsd_string))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_50,plain,
~ icext(uri_xsd_decimal,esk2_2(uri_xsd_decimal,uri_xsd_string)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_17]),c_0_45]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.23 % Problem : SWB032+2 : TPTP v9.2.1. Released v5.2.0.
% 0.02/0.23 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.44 % Computer : n002.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % Memory : 8042.1875MB
% 0.12/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % WCLimit : 300
% 0.12/0.44 % DateTime : Tue May 5 04:10:31 EDT 2026
% 0.12/0.44 % CPUTime :
% 0.12/0.45 % start to proof: theBenchmark
% 1.14/1.84 % Version : CSE_E---1.7
% 1.14/1.84 % Problem : theBenchmark.p
% 1.14/1.84 % SZS status Theorem for theBenchmark.p
% 1.14/1.84 % SZS output start CNFRefutation
% See solution above
% 1.14/1.84 % Total time : 1.382s
%------------------------------------------------------------------------------